Journal article
Traveling wave solutions for reaction-diffusion systems
In
Nonlinear Analysis: Theory, Methods and Applications
—
2010, Volume 73, Issue 10, pp. 3303-3313
Abstract
This paper is concerned with traveling waves of reaction–diffusion systems. The definition of coupled quasi-upper and quasi-lower solutions is introduced for systems with mixed quasimonotone functions, and the definition of ordered quasi-upper and quasi-lower solutions is also given for systems with quasimonotone nondecreasing functions.
By the monotone iteration method, it is shown that if the system has a pair of coupled quasi-upper and quasi-lower solutions, then there exists at least a traveling wave solution. Moreover, if the system has a pair of ordered quasi-upper and quasi-lower solutions, then there exists at least a traveling wavefront.
As an application we consider the delayed system of a mutualistic model.
| Language: | English |
|---|---|
| Year: | 2010 |
| Pages: | 3303-3313 |
| ISSN: | 18735215 and 0362546x |
| Types: | Journal article |
| DOI: | 10.1016/j.na.2010.07.010 |
| ORCIDs: | Pedersen, Michael |
